Using the definition of the harmonic numbers, we can rewrite each term as a sum:
$$\left(\sum_{k=1}^4 \frac{1}{k}\right) + \left(\sum_{k=1}^4 \frac{1}{k}\right) + \left(\sum_{k=1}^4 \frac{1}{k}\right) + \ldots + \left(\sum_{k=1}^4 \frac{1}{k}\right)$$
Now, we
Show more…